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Angle calculations for a three‐circle goniostat
Author(s) -
Larsen Helge B.,
Beukes Jon Are,
Thorkildsen Gunnar
Publication year - 2006
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889805041877
Subject(s) - rotation (mathematics) , reciprocal , coordinate system , rotation matrix , geometry , transformation (genetics) , angle of rotation , physics , lattice (music) , mathematics , chemistry , philosophy , linguistics , biochemistry , acoustics , gene
A general procedure for angle calculations for a three‐circle goniostat has been developed. This new approach is based on a vector description of the transformation of a reciprocal‐lattice vector under the action of a rotation shaft. It does not invoke the use of rotation matrices and applies equally well to cases where the directions of the rotation axes do not conform with coordinate axes of the laboratory system adopted for the analysis.